427957477920 has 384 divisors, whose sum is σ = 1746771264000. Its totient is φ = 97818513408.

The previous prime is 427957477903. The next prime is 427957477939. The reversal of 427957477920 is 29774759724.

427957477920 is a `hidden beast` number, since 4 + 2 + 79 + 5 + 7 + 477 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1337352 + ... + 1626168.

It is an arithmetic number, because the mean of its divisors is an integer number (4548883500).

Almost surely, 2^427957477920 is an apocalyptic number.

427957477920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427957477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873385632000).

427957477920 is an abundant number, since it is smaller than the sum of its proper divisors (1318813786080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427957477920 is a wasteful number, since it uses less digits than its factorization.

427957477920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288862 (or 288834 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 427957477920 in words is "four hundred twenty-seven billion, nine hundred fifty-seven million, four hundred seventy-seven thousand, nine hundred twenty".